Permutation and Combination - Arrangements with Repetition Allowed

Permutation and Combination - Arrangements with Repetition Allowed

A four-letter word can be formed from any of the \(26\) letters in the alphabet. Determine the number of such words with

  1. repetitions of the letters allowed,
  2. different letters and containing exactly one vowel,
  3. repetitions allowed and containing at least one vowel.

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Answer:(i) \(456\,976\) (ii) \(159\,600\) (iii) \(262\,495\)

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